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A087743 Numbers n >= 3 with property that the remainder when n is divided by k (for 3 <= k <= n-2) is not 1. 0
3, 4, 5, 6, 8, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 54, 60, 62, 68, 72, 74, 80, 84, 90, 98, 102, 104, 108, 110, 114, 128, 132, 138, 140, 150, 152, 158, 164, 168, 174, 180, 182, 192, 194, 198, 200, 212, 224, 228, 230, 234, 240, 242, 252, 258, 264, 270 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

More generally, let prime_Y consist of the numbers n >= 2+Y which never yield a remainder of Y when divided by any number from 2+Y to n-Y-1. Prime_0 are the usual primes, A000040. This sequence gives prime_2.

LINKS

Table of n, a(n) for n=1..58.

FORMULA

P[n, Y] = P[n-1, Y] for most terms where P is a Boolean array of numbers n and Y their order of primeness: if P[n, Y] then n is a prime of order Y

MATHEMATICA

Select[Range[3, 500], Count[Table[Mod[#, k], {k, 3, #-2}], 1]==0&] (* Harvey P. Dale, Dec 17 2011 *)

CROSSREFS

Sequence in context: A026487 A130788 A288819 * A073568 A094576 A103103

Adjacent sequences:  A087740 A087741 A087742 * A087744 A087745 A087746

KEYWORD

nonn

AUTHOR

Chas A Guderjahn (chasag(AT)aol.com), Oct 01 2003

EXTENSIONS

More terms from Harvey P. Dale, Dec 17 2011

STATUS

approved

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Last modified September 22 19:36 EDT 2021. Contains 347608 sequences. (Running on oeis4.)